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Finding the Fourth Proportional to 25,649.34, 38,509.79 and 13,179.93

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Solution

The fourth proportional to 25,649.34, 38,509.79 and 13,179.93 is: 19,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.34 : 38,509.79 = 13,179.93 : x
  2. Step 2: Convert to fraction form
    25,649.34/38,509.79 = 13,179.93/x
  3. Step 3: Cross multiply
    25,649.34x = 38,509.79 × 13,179.93
  4. Step 4: Simplify right side
    25,649.34x = 507,556,270.62
  5. Step 5: Solve for x
    x = 507,556,270.62/25,649.34
  6. Step 6: Final answer
    x = 19,788.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.